What is the 4508th prime number?
The 4508th prime number is 43159. The next prime is 43177 (a gap of 18) and the one before is 43151.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4508th one is 43159.
- 2
43159 is prime because no prime up to ā43159 ā 207.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4508th prime is close to 4508 Ć ln(4508) ā 37929, and here it is 43159.
- 4
43159 has no twin: neither 43157 nor 43161 is prime.
Primes around the 4508th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4505 | 43117 | 14 |
| 4506 | 43133 | 16 |
| 4507 | 43151 | 18 |
| 4508 | 43159 | 8 |
| 4509 | 43177 | 18 |
| 4510 | 43189 | 12 |
| 4511 | 43201 | 12 |
Questions
What is the 4508th prime number?
43159.
Which prime number is 43159?
43159 is the 4508th prime number.
What is the sum of the first 4508 primes?
91,865,315.